Consider the polar graph r=1-sin theta and r= sin theta, shown below.
Please help with B, D, and E
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Consider the polar graph r=1-sin theta and r= sin theta, shown below. Please help with B,...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the answer is 3v3.] [Answer: sf-i.] quadrant where r is maximum? (b) Find the area outside the circle r 2 but inside the curve r 1+2 sin(30) (c) What is the tangent line to the curve r-1+2sin(30) at the point...
please solve it with polor coodinate graph 4. Find the area. a. Inside one leaf of the three-leaved rose cos30 r= b. Shared by the circle r 2 and the cardioid r 2(1+sin 0) c. Inside the circle r-3 cos 0 and outside the cardioid r=1 - cos0 d. Inside the circle r 4 sin0 and below the horizontal line r 3 csc e. Inside the outer loop of the limason r1-2 cos f. Inside the lemniscate 6 sin20 and...
2. (a) Find the point on the cardioid r = 2(1+sin ) that is farthest on the right. (b) What is the area of the region that is inside of this cardioid and outside the circle r = 6 sin 0? 1515-10nts]
For the polar equation r= 1-sinθ a) Sketch the graph for 0 ≤ t ≤ 2pi b) Find the points on the cardioid where the tangent line is horizontal c)Find the equation of the tangent line when theta=pi/3
1 The following questions involve the two polar curves: Sketch the curves and shade the region outside R and inside r Use a large size graph paper a l clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve b. Discuss the symmetry of each curve c. Calculate th e area for the region of overlap that you shaded and described in part a. Show all steps clearly and neatly....
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that eive complete cycle for each curve. a b. Discuss the symmetry of each curve. ulate the area for the region of overlap that you shaded and described in part a. Show all steps...
5. The graphs of the polar curves r-4 and r-3 + 2 cos θ are shown in the figure above. The curves intersect 3 (a) Let R be the shaded region that is inside the graph of r-4 and also outside the graph of r 34 2 cos θ, as shown in the figure above. Write an expression involving an integral for the area of R. (b) Find the slope of the line tangent to the graph of r :-3...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 6 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve. Discuss the symmetry of each curve. a. b. Calculate the area for the region of overlap that you shaded and described in part a. Show all...
2) Consider polar curre r=4coso and r=1+2 caso r=1+2 cos r=4coso B A a) Find ALL intersection points of the two curves, where osos2a, and Express them in polar coordinates b) Find the area inside the shaded loop of the curve r=1+2 cose C) Find the length of r=4cose from A to B as a increases, where A is the intersection of the two curres in quadrant II, and B is the intersection of the curve r=4cose with the positive...